11390240 has 48 divisors (see below), whose sum is σ = 27111672. Its totient is φ = 4521984.

The previous prime is 11390213. The next prime is 11390261. The reversal of 11390240 is 4209311.

It can be written as a sum of positive squares in 4 ways, for example, as 10316944 + 1073296 = 3212^2 + 1036^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40982 + ... + 41258.

Almost surely, 2^11390240 is an apocalyptic number.

11390240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555836).

11390240 is an abundant number, since it is smaller than the sum of its proper divisors (15721432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11390240 is a wasteful number, since it uses less digits than its factorization.

11390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 11390240 is about 3374.9429624810. The cubic root of 11390240 is about 224.9974649920.

Adding to 11390240 its reverse (4209311), we get a palindrome (15599551).

The spelling of 11390240 in words is "eleven million, three hundred ninety thousand, two hundred forty".